Results 31 to 40 of about 566,161 (272)

New theoretical results and applications on conformable fractional Natural transform

open access: yesAin Shams Engineering Journal, 2021
In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour   +3 more
doaj   +1 more source

Dynamic cobweb models with conformable fractional derivatives

open access: yesNonlinear Analysis: Hybrid Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Bohner, Veysel Fuat Hatipoğlu
openaire   +3 more sources

Higher-order time-fractional Sasa–Satsuma equation: Various optical soliton solutions in optical fiber

open access: yesResults in Physics, 2023
In this paper, the generalized (3+1)-dimensional nonlinear Sasa–Satsuma model with conformable fractional derivative using the new Kudryashov approach is considered to find a class of novel exact solutions in optical fibers.
Muhammad Amin S. Murad   +4 more
doaj   +1 more source

Fractional variational problems with the Riesz-Caputo derivative [PDF]

open access: yes, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
core   +1 more source

Symmetric Conformable Fractional Derivative of Complex Variables [PDF]

open access: yesMathematics, 2020
It is well known that the conformable and the symmetric differential operators have formulas in terms of the first derivative. In this document, we combine the two definitions to get the symmetric conformable derivative operator (SCDO). The purpose of this effort is to provide a study of SCDO connected with the geometric function theory.
Rabha W. Ibrahim   +2 more
openaire   +2 more sources

The existence analysis of solutions for initial value problems of nonlinear conformable fractional delayed differential equations

open access: yes上海师范大学学报. 自然科学版, 2021
In this paper, we establish several existence and uniqueness results of solutions for initial value problems of nonlinear fractional delayed differential equations in the sense of conformable fractional derivative.
WANG Sen, JIANG Wei
doaj   +1 more source

The Fractional Differential Equations with Uncertainty by Conformable Derivative

open access: yesEuropean Journal of Pure and Applied Mathematics, 2022
We provide a fractional order fuzzy fractional differential equation q ∈ (0, 1]. A fuzzy fractional integral and a fuzzy conformable derivative are shown and proved. To prove fuzzy solutions for fractional differential equations with fuzzy beginning values and deterministic or fuzzy functions, two alternative techniques are used.
Atimad Harir   +2 more
openaire   +1 more source

Exact solutions of fractional partial differential equation systems with conformable derivative [PDF]

open access: yes, 2019
Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known ...
Özkan, O.   +3 more
core   +1 more source

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

open access: yesComplexity, 2019
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio   +4 more
doaj   +1 more source

A new definition of conformable fractional derivative on arbitrary time scales

open access: yesAdvances in Difference Equations, 2019
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved.
Mohamad Rafi Segi Rahmat
doaj   +1 more source

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